Tailoring the Nonlinear Optical Response of Some Graphene Derivatives by Ultraviolet (UV) Irradiation

In the present work the impact of in situ photoreduction, by means of ultraviolet (UV) irradiation, on the nonlinear optical response (NLO) of some graphene oxide (GO), fluorographene (GF), hydrogenated fluorographene (GFH) and graphene (G) dispersions is studied. In situ UV photoreduction allowed for the extended modification of the degree of functionalization (i.e., oxidization, fluorination and hydrogenation), leading to the effective tuning of the corresponding sp2/sp3 hybridization ratios. The nonlinear optical properties of the studied samples prior to and after UV irradiation were determined by means of the Z-scan technique using visible (532 nm), 4 ns laser excitation, and were found to change significantly. More specifically, while GO’s nonlinear optical response increases with irradiation time, GF and GFH present a monotonic decrease. The graphene dispersions’ nonlinear optical response remains unaffected after prolonged UV irradiation for more than an hour. The present findings demonstrate that UV photoreduction can be an effective and simple strategy for tuning the nonlinear optical response of these graphene derivatives in a controllable way, resulting in derivatives with custom-made responses, thus more suitable for different photonic and optoelectronic applications.


Introduction
During the last decade graphene [1] has been among the most studied materials due to its extraordinary properties. Graphene is a two-dimensional carbon allotrope with zero bandgap [2], while its unique mechanical, chemical, and opto-electronic properties render it a highly attractive material for a plethora of emerging applications, related with solar cells [3], photonic sensors [4], supercapacitors [5,6], flexible electronics [7,8], field-effect transistors [9] and several others.
However, the zero bandgap of graphene hinders its integration into specific electronic and optoelectronic devices [4]. In that view, significant research efforts have been oriented towards possible ways to open and control a finite energy gap in the band structure of graphene, enlarging its potential for more applications. So far, various methods have been proposed in the literature, such as applying strain along the graphene sheet [10,11], biasing bilayers of G [12,13], substrate-induced bandgap supported on SiC [14], patterned hydrogen adsorption in the graphene sheet [15] and so forth. Among the different strategies proposed for the modification of graphene's energy bandgap, maybe the most often used one is its covalent functionalization through the introduction of suitable atoms on the basal plane of the graphene sheet [16,17]. Covalent functionalization takes advantage of the fact that graphene's carbon atoms are sp 2 -hybridized and each carbon has a p z orbital in the direction perpendicular to the basal plane, forming a relative stable conjugated and sp 2 carbon content [36]. Fluorographene (GF) was obtained through the sonication of fluorinated graphite (Sigma Aldrich, St. Louis, MO, USA), resulting in fully fluorinated graphene with a nominal atomic composition of F/C = 1:1 as confirmed by XPS elemental analysis, whereas atomic force microscopy (AFM) measurements revealed a layer thickness of 2-2.5 nm [32]. GFH was obtained by a two-step synthetic procedure. Firstly, liquid-phase exfoliation of fluorinated graphite (C/F = 1:1 ratio, Sigma Aldrich, St. Louis, MO, USA) in DMF was applied, which resulted, after sonication, in GF sheets. Lastly, the GF sheets were hydrogenated by means of hydride nucleophilic substitution/reduction of the GF layers using sodium borohydride (NaBH 4 ) as the hydride source [32]. XPS measurements revealed a stoichiometry of C 18 H 2.2 F 2.8 O 1.3 , leading to an estimation of graphene's total functionalization of~35%, with~12% and~15% of H atom and F atom coverages, respectively. AFM measurements showed a thinner layer thickness of 0.8-1 nm compared to its precursor GF. More details on the synthesis along with various characterization techniques of the investigated samples can be found in detail elsewhere [32,34,36].

In Situ UV Irradiation of G, GO, GF and GFH
For the photo-reduction experiments, dispersions of G and GF in DMF were prepared while GO was dispersed in distilled water and GFH in acetone. All prepared dispersions were routinely checked spectrophotometrically before the measurements and were found to be stable. All solvents used were spectrophotometric-grade. For all the experiments, the dispersions were placed in 1-mm-thick glass cells and irradiated by the third harmonic output at 355 nm of a 4 ns Q-switched Nd:YAG laser. The laser beam was slightly expanded by means of a homemade telescope to obtain a homogeneous illumination of the frontal surface of the cell containing the sample. The energies of the incident and the transmitted laser beam were measured by a calibrated joulemeter (Coherent-EnergyMax J-10MT-10kHZ, Coherent Inc., Santa Clara, CA, USA) placed just before and behind the cell, respectively. Each sample was exposed to different duration irradiation periods (i.e., cycles), lasting from a few minutes up to one hour. In the following sections the irradiated samples will be indicated as iGX-y, where X denotes O, F or FH and y denotes the duration of irradiation. The UV-VIS-NIR absorption spectra of the prepared dispersions were measured systematically by means of a double-beam spectrophotometer (V-670 Jasco, JASCO, Easton, MD, USA) in the spectral region from 200 to 1200 nm, before and after each irradiation cycle. The UV irradiation of the dispersions was repeated until no significant changes were observed in their UV-VIS-NIR absorption spectra.

Nonlinear Optical Measurements
The third-order nonlinear optical (NLO) response of G, GO, GF and GFH has been investigated using the Z-scan technique [37], which allows the simultaneous determination of the sign and the magnitude of the nonlinear absorption (i.e., nonlinear absorption coefficient β) and refraction (i.e., nonlinear refractive index parameter γ ) of a sample from a single transmission measurement. In more detail, in the Z-scan technique the transmission of a sample moving along the propagation direction of a focused laser beam, thus experiencing a different laser intensity at each position, is measured. The experimental setup is schematically depicted in Figure 1.
As the sample approaches the focal plane it experiences continuously increasing laser intensity, which gives rise to nonlinear absorption and refraction, which in turn modify its transmission characteristics. The assessment of the nonlinear absorption and refraction of the sample is achieved by splitting the transmittedthrough the sample laser beam in two parts and introducing each part into the so-called "open-aperture" (OA) and "closed-aperture" (CA) Z-scan arms, respectively. As the sample approaches the focal plane it experiences continuously increasing laser intensity, which gives rise to nonlinear absorption and refraction, which in turn modify its transmission characteristics. The assessment of the nonlinear absorption and refraction of the sample is achieved by splitting the transmittedthrough the sample laser beam in two parts and introducing each part into the so-called "open-aperture" (OA) and "closedaperture" (CA) Z-scan arms, respectively.
In the OA Z-scan arm the transmitted laser light is totally collected and measured, e.g., by means of a photomultiplier (PMT). According to Z-scan formalism the sample's normalized transmission T(z) is described by the following equation: where β is the nonlinear absorption coefficient, I0 is the on-axis peak irradiance, z0 is the Rayleigh length (or confocal parameter) and L eff = [1 − e −α 0 L ] α 0 ⁄ , with α0 being the linear absorption coefficient at the laser wavelength and L denoting the thickness of the sample. From the fitting of the OA Z-scan data with Equation (1), the nonlinear absorption coefficient β can be obtained. The presence of a minimum or maximum at the OA Z-scan indicates the sign of the nonlinear absorption coefficient β, corresponding to reverse saturable absorption (RSA, β > 0) or saturable absorption (SA, β < 0), respectively. Then, the imaginary part of the third-order nonlinear susceptibility χ (3) , Imχ (3) , can be calculated from the following relation: where c is the speed of light given in cm s −1 , n0 is the refractive index and ω is the frequency of the incident beam in s −1 .
In the CA Z-scan arm the transmitted through the sample laser beam is passed firstly through a narrow pinhole placed in the farfield and is subsequently measured, e.g., by a second PMT. This type of transmission measurement provides information about the nonlinear refractive index parameter γ′. A CA Z-scan can exhibit a pre-focal transmission minimum (valley) followed by a post-focal maximum (peak) or the opposite configuration (i.e., a peak followed by a valley), indicating positive or negative γ′ (i.e., Reχ (3) ), In the OA Z-scan arm the transmitted laser light is totally collected and measured, e.g., by means of a photomultiplier (PMT). According to Z-scan formalism the sample's normalized transmission T(z) is described by the following equation: where β is the nonlinear absorption coefficient, I 0 is the on-axis peak irradiance, z 0 is the Rayleigh length (or confocal parameter) and L eff = 1 − e −α 0 L /α 0 , with α 0 being the linear absorption coefficient at the laser wavelength and L denoting the thickness of the sample. From the fitting of the OA Z-scan data with Equation (1), the nonlinear absorption coefficient β can be obtained. The presence of a minimum or maximum at the OA Zscan indicates the sign of the nonlinear absorption coefficient β, corresponding to reverse saturable absorption (RSA, β > 0) or saturable absorption (SA, β < 0), respectively. Then, the imaginary part of the third-order nonlinear susceptibility χ (3) , Imχ (3) , can be calculated from the following relation: where c is the speed of light given in cm s −1 , n 0 is the refractive index and ω is the frequency of the incident beam in s −1 .
In the CA Z-scan arm the transmitted through the sample laser beam is passed firstly through a narrow pinhole placed in the farfield and is subsequently measured, e.g., by a second PMT. This type of transmission measurement provides information about the nonlinear refractive index parameter γ . A CA Z-scan can exhibit a pre-focal transmission minimum (valley) followed by a post-focal maximum (peak) or the opposite configuration (i.e., a peak followed by a valley), indicating positive or negative γ (i.e., Reχ (3) ), respectively. In the former case the sample acts as a focusing (positive γ ) lens while in the latter case the sample acts as a defocusing (negative γ ) lens.
The nonlinear refractive index parameter γ can be determined by fitting the corresponding CA Z-scan curve using the following equation: where k 0 = 2π λ is the wavevector and λ is the laser wavelength, all in free space. The quantities z 0 and L eff are defined as previously.
From the determined nonlinear refractive index parameter γ , the real part of the thirdorder nonlinear susceptibility χ (3) , Reχ (3) , can be calculated from the following relation: Finally, the magnitude of the third-order nonlinear susceptibility χ (3) can be easily calculated as follows: For the nonlinear optical measurements, the second harmonic output at 532 nm from a 4 ns Q-switched Nd:YAG laser was used. The laser was operating at a repetition rate of 1 to 10 Hz. The laser beam was focused into the sample by means of a 20 cm focal length quartz lens. The laser beam waist at the focus (i.e., half width at 1/e 2 of the maximum of irradiance) was determined using a CCD camera. It was found to be 17.5 µm.

UV Irradiation Experiments of the G, GF, GO and GFH Dispersions
The effects of the ultraviolet irradiation on the G, GO, GF and GFH dispersions were monitored through the collection and study of their respective UV-VIS-NIR absorption spectra after each irradiation cycle. By monitoring the spectral changes, evidence about the induced structural changes that resulted from the UV irradiation can be obtained. Figure 2 presents the UV-VIS-NIR absorption spectra of some GO (Figure 2a), GF ( Figure 2b) and GFH ( Figure 2c) dispersions prior to and after three successive irradiation cycles. As shown, the absorption of GO and GF dispersions was found to increase with the duration of UV irradiation, while the absorption of the GFH dispersion was found to decrease with the duration of its exposure to the UV light. It should be mentioned here that the laser fluences used for the irradiation experiments were chosen based on how strong the induced changes were in the respective absorption spectra. Therefore, when large absorption changes were observed the laser fluence was reduced accordingly to better monitor the temporal evolution of the induced absorption changes. To ensure the validity of the experimental observations, for each sample four identical dispersions were prepared and irradiated consecutively under identical conditions. This similarly occurred for the studies of the NLO response which will be presented in the next.
More specifically, the GO dispersions were initially irradiated for two sequential cycles of 5 min each. After each irradiation cycle a small but clearly observable absorption change (increase) was observed, as shown in the bottom inset of Figure 2a. Then, the GO sample was further irradiated for a 30 min cycle and a relatively larger absorption change was observed. Further UV irradiation of the GO dispersion, i.e., beyond the three irradiation cycles (having lasted 40 min totally), did not result in an appreciable change in its absorption. For all irradiation cycles, the laser fluence was 13 mJ cm −2 .
As can be seen from Figure 2a, the absorption spectra of the GO dispersions are structureless, presenting a characteristic absorption band at~227 nm ascribed to π-π* transitions [38]. Upon irradiation this characteristic absorption was observed to shift gradually to longer wavelengths (red-shifted), suggesting a reduced energy of the π-π* transitions, associated with the increased conjugation of the irradiated iGOy graphenic sheets [38]. An analogous behavior has been reported by Trusovas et al. [39]; it has been attributed to the reduction of GO to graphene induced by ps laser irradiation, resulting in the increased conjugation of iGOy sheets and suggesting the creation of more conductive sp 2 graphenic domains on the insulating GO [40]. Similar observations have been reported by Wu. et al. [41], having used a 200 W mercury lamp to prepare reduced GO (RGO) samples. It should be noted at this point that since the present GO samples were partially Nanomaterials 2022, 12, 152 6 of 15 oxidized graphene, with an oxygen/carbon atomic ratio (O/C) of~0.25, the effects of the UV irradiation on the absorption spectrum were not so pronounced, at least not after the first two irradiation cycles. In any case, an increase in the exposure time resulted in a decrease in the degree of oxidation, leading the GO dispersions to exhibit a more "graphenic" behavior. This is further supported by the bandgap values of the irradiated GO samples, as estimated using the Tauc method. Although the accuracy of this method can be limited, it provides an easy way for such an estimation by expressing the linear absorption coefficient, α 0, through the following equation: where h is the Planck constant, v is the photon's frequency and E g is the bandgap energy, while the parameter n depends on the nature of the electron transition and takes the value of 1 2 for the case of direct bandgaps. Therefore, the bandgap value of the non-irradiated GO was found to be~3.76 eV, which is in relatively good agreement with other values from the literature [26]. In general, the UV photo-reduction led to a monotonic decrease in the bandgap, from~3.70 to~3.61 for iGO-5 and iGO-40 dispersions, respectively, providing evidence that the degree of oxidation is decreases upon irradiation, the sample exhibiting a more "graphene"-like behavior.
Concerning GF, the corresponding dispersions were subjected to three successive UV irradiation cycles of 5 min each, i.e., corresponding to a total exposure time of 15 min. The laser fluence was set at 5 mJ cm −2 . As can be seen from Figure 2b, the UV-VIS-NIR absorption spectrum of GF was structureless, exhibiting a strong absorption band at~330 nm which is attributed to the π-π* transitions of C=C. The UV irradiation of the GF dispersions led to a monotonic increase in the 330 nm absorption band, indicating the de-fluorination of GF and thus the change of the conjugation on the GF sheet, the latter gradually recovering, partially, to a "graphenic" sheet [24,42]. Therefore, as the duration of the UV irradiation increased the degree of fluorination decreased, corresponding to an increase in the sp 2 -hybridized graphenic domains (C-C) against the sp 3 domains (C-F), finally resulting in an enhancement of the 330 nm absorption band. Again, the use of the Tauc method supported the monotonic decreasing trend of the bandgap values of the irradiated GF samples. Non-irradiated GF exhibited a bandgap of~2.35 eV, similar to what has been reported in the literature [30]. As the irradiation time increased the bandgap attained a minimum value of~2.09 eV for iGF-15, suggesting the partial recovery of the graphenic sheet. The most noticeable change in the UV-VIS-NIR absorption spectrum was observed within the first cycle (i.e., 5 min) of irradiation. This can be understood by considering the different natures of C-F bonds which are present in GF, such as the covalent and "semi-covalent" (or "semi-ionic") ones [43]. According to the XPS findings of the deconvoluted C 1s spectrum of the studied GF [32], a minor fraction of C-F is attributed to "semi-ionic" (at 287.7 eV) bonds whereas the covalent C-F bonds (at 290.1 eV and 291.8 eV) prevail. According to Ren et al. [44] the covalent C-F bonds are more sensitive to UV radiation than semi-ionic ones. This can qualitatively explain the observation of the initially faster reduction (i.e., within the first 5 min of irradiation). After three irradiation cycles (i.e., 5 min each, 15 min in total) no significant changes were observed in the UV-VIS-NIR spectra of GF, suggesting that further de-fluorination is most probably less efficient. It should be added here that Ren  Then, the GFH dispersions were UV-irradiated for three 5 min irradiation cycles using a fluence of 5 mJ cm −2 . As shown in Figure 2c, the GFH dispersion absorption spectrum is dominated by a strong absorption band located at ~330 nm, while it is structureless towards longer wavelengths. Interestingly, in contrast to the behavior observed for the corresponding characteristic GF absorption band, an increase in the UV exposure time of the GFH dispersion resulted in a significant decrease in the GFH absorption band, initially Then, the GFH dispersions were UV-irradiated for three 5 min irradiation cycles using a fluence of 5 mJ cm −2 . As shown in Figure 2c, the GFH dispersion absorption spectrum is dominated by a strong absorption band located at~330 nm, while it is structureless towards longer wavelengths. Interestingly, in contrast to the behavior observed for the corresponding characteristic GF absorption band, an increase in the UV exposure time of the GFH dispersion resulted in a significant decrease in the GFH absorption band, initially leading to its gradual attenuation and its total extinction for irradiation durations greater than 10 min, suggesting a drastic change in the conjugation. This observation suggests the lowering of the energy bandgap. More specifically, while the energy bandgap of nonirradiated GFH is estimated to be~2.7 eV the bandgap of the iGFH-11 was estimated to bẽ 2.5 eV. Moreover, it has been shown that the degree of fluorination and the conformations of the F atoms on the graphenic sheet can greatly influence the bandgap of GFH [45]. Therefore, as the irradiation time increases the degree of fluorination decreases, leading to the lowering of the bandgap value.
Finally, pristine graphene (G) dispersions in DMF were irradiated for various irradiation cycles with a fluence of 25 mJ cm −2 . The corresponding UV-VIS-NIR absorption spectra are presented in Figure 3. Although graphene dispersions were irradiated for more than one hour totally, at laser fluences higher than those used for GO, GF and GFH no measurable modifications/changes were observed in their UV-VIS-NIR absorption spectra. This finding most probably indicates that no major conjugation changes in the graphenic sheet have taken place under UV irradiation.

Measurements of the Nonlinear Optical (NLO) Properties
The NLO response of each dispersion was evaluated prior to its irradiation and after each UV irradiation cycle. For the accurate determination of the NLO parameters (i.e., nonlinear absorption coefficient β, nonlinear refractive index parameter γ′) Z-scan measurements of each dispersion were performed using different incident laser intensities. It is useful to add at this point that the linear transmittance of the samples was measured prior to and after irradiation at the laser excitation wavelength. The values of the linear transmittance of the non-irradiated and irradiated G samples were determined to remain unchanged, i.e., ~77%, while those of the GO and iGO-15 samples were found to be ~81 and ~76.5%, respectively. In the case of the GF and iGF-15 samples the linear transmittance was found to be ~70 and 51% prior to and after irradiation, whereas for the GFH and iGFH-11 samples it was found to be ~98 and ~87%, respectively. As an example, some representative OA and CA Z-scans of each sample prior to and after UV irradiation are presented in Figure 4. All Z-scan curves presented in Figure 4 have been obtained using the same laser peak intensity, I0, i.e., I0 = 24 MW cm −2 . The filled circle/square dots correspond to the experimental data points whereas the lines correspond to the theoretical fit-

Measurements of the Nonlinear Optical (NLO) Properties
The NLO response of each dispersion was evaluated prior to its irradiation and after each UV irradiation cycle. For the accurate determination of the NLO parameters (i.e., nonlinear absorption coefficient β, nonlinear refractive index parameter γ ) Z-scan measurements of each dispersion were performed using different incident laser intensities. It is useful to add at this point that the linear transmittance of the samples was measured prior to and after irradiation at the laser excitation wavelength. The values of the linear transmittance of the non-irradiated and irradiated G samples were determined to remain unchanged, i.e.,~77%, while those of the GO and iGO-15 samples were found to be~81 and 76.5%, respectively. In the case of the GF and iGF-15 samples the linear transmittance was found to be~70 and 51% prior to and after irradiation, whereas for the GFH and iGFH-11 samples it was found to be~98 and~87%, respectively. As an example, some representative OA and CA Z-scans of each sample prior to and after UV irradiation are presented in Figure 4. All Z-scan curves presented in Figure 4 have been obtained using the same laser peak intensity, I 0 , i.e., I 0 = 24 MW cm −2 . The filled circle/square dots correspond to the experimental data points whereas the lines correspond to the theoretical fitting of the OA and CA curves by Equations (1) and (3), respectively.   It is important to note that since the solvents used for the dispersions (i.e., DMF, distilled water and acetone) did not exhibit any NLO response under the present experimental conditions the Z-scan recordings directly reveal the sign and magnitude of the NLO response of the non-irradiated and irradiated dispersions. Therefore, as shown from the Z-scan measurements, G, GO, GF and GFH were all found to exhibit an important NLO response under ns laser excitation. More specifically, all samples were found to exhibit reverse saturable absorption (RSA) behavior (i.e., Imχ (3) > 0), attributed to two-photon absorption (2PA) and/or excited-state absorption (ESA), as has been discussed in detail elsewhere [46]. It is interesting to state at this point that, although saturable absorption (SA) has to be expected (due to the flat absorption spectra of all the samples in the visible region, suggesting resonant character excitation), RSA behavior was observed (for both non-irradiated and irradiated samples). This last observation suggests that the operational mechanism responsible for the NLO absorption under ns excitation conditions is most probably due to 2PA and/or ESA. This can be further understood by considering that the It is important to note that since the solvents used for the dispersions (i.e., DMF, distilled water and acetone) did not exhibit any NLO response under the present experimental conditions the Z-scan recordings directly reveal the sign and magnitude of the NLO response of the non-irradiated and irradiated dispersions. Therefore, as shown from the Z-scan measurements, G, GO, GF and GFH were all found to exhibit an important NLO response under ns laser excitation. More specifically, all samples were found to exhibit reverse saturable absorption (RSA) behavior (i.e., Imχ (3) > 0), attributed to two-photon absorption (2PA) and/or excited-state absorption (ESA), as has been discussed in detail elsewhere [46]. It is interesting to state at this point that, although saturable absorption (SA) has to be expected (due to the flat absorption spectra of all the samples in the visible region, suggesting resonant character excitation), RSA behavior was observed (for both non-irradiated and irradiated samples). This last observation suggests that the operational mechanism responsible for the NLO absorption under ns excitation conditions is most probably due to 2PA and/or ESA. This can be further understood by considering that the studied graphene samples consist of 2-5 layers (as has been described above), while layer stacking in graphene is known to induce the opening of the bandgap [13]. Thus, the observed RSA behavior can be explained in terms of a 2PA mechanism. Therefore, although 2PA is absent in monolayer graphene (since it possesses a near-zero bandgap), a 2PA mechanism can occur in bilayer and multilayer graphene due to new states introduced by the π-π stacking of the layers, thus explaining the RSA behavior. In support of the above, it is useful to add that in another investigation (unpublished results), concerning the NLO response under 35 fs, 800 nm laser excitation of some CVD-grown monolayer, bilayer and trilayer graphene films, similar findings have been observed, i.e., the monolayer graphene samples exhibited SA behavior for a very wide range of laser intensities, while the bilayer and trilayer samples initially exhibited SA behavior, which turned into RSA behavior (attributed to 2PA) at a higher laser intensity.
Concerning the NLO refractive response of the studied dispersions, the CA Z-scans of the GO and GF dispersions exhibited a peak-valley configuration, indicating selfdefocusing behavior (i.e., Reχ (3) < 0), while G and GFH exhibited a valley-peak configuration, indicating self-focusing behavior (i.e., Reχ (3) > 0). The sign of the CA Z-scan recording remained unaltered before and after irradiation.
From the obtained Z-scans the values of the NLO parameters were determined; they are summarized in Table 1. To facilitate comparisons the values of the different NLO parameters listed in this table are all referring to a concentration of 1 mg mL −1 . As can be seen from this table, the NLO response of GO was found to increase upon irradiation, exhibiting a three-fold increase. The observed increase in the NLO response is associated with the extension of the π-conjugation along the graphenic sheet, as has been discussed in detail by Liaros et al. [47] who concluded that GO samples with a lower degree of oxidation (either prepared with a lower degree of oxidation or UV-reduced GO samples) exhibited a larger NLO response due to possessing more sp 2 sites.
In contrast to the NLO response of GO, GF's NLO response was found to decrease upon irradiation. Specifically, GF's NLO response was monotonically decreased, attaining almost a two-fold decrease at the end of its total irradiation. This decrease can be understood by considering GF's stoichiometry. The studied GF has a C/F ratio of 1:1, i.e., every carbon atom is bonded to one F atom (or with two or three F atoms at the edges of the sheet). This suggests that there are not any sp 2 carbons in the non-irradiated sample. UV irradiation induces reductive defluorination, leading to the creation of sp 2 domains within the sp 3 network. Therefore, as UV irradiation proceeds GF's sp 2 /sp 3 ratio increases, modifying the NLO properties [46].
The most remarkable variation in the NLO response upon UV irradiation was observed for the case of GFH dispersions, where the NLO response was found to be reduced to half after each 2 min irradiation cycle, eventually attaining an eight-fold decrease (i.e., after 11 min of total irradiation). This finding can be attributed to the increase in the sp 2 /sp 3 hybridization ratio of the irradiated dispersions [46]. More specifically, as the irradiation time increases the conjugation of the GFH samples changes, mainly because of the occurring de-fluorination. Therefore, domains that were (initially) dominated by sp 3 hybridization are transformed into domains with sp 2 hybridization. As a result, the ratio of sp 2 /sp 3 increases and the irradiated samples acquire a more "graphenic" behavior, accompanied by a reduction in their energy bandgap (from~2.7 to~2.5 eV). Thus, the NLO response is greatly modified between non-irradiated and irradiated samples.
Another interesting observation can be made by comparing the ratio of the NLO absorption and refraction (Reχ (3) /Imχ (3) ) of each sample prior to and after irradiation. The corresponding ratio for each sample is presented in Figure 5. The red and blue bars indicate the ratio of Reχ (3) /Imχ (3) prior to and after irradiation. In the cases of GO and GF dispersions the Reχ (3) /Imχ (3) ratio was about 5, whereas it was~1 for GFH. After the completion of UV irradiation this ratio was found to increase, becoming greater than 10 for the case of GF. Oppositely, in the case of GO this ratio decreased to a value of~2. Interestingly, this ratio remains the same for GFH. In conclusion, the present findings indicate that the NLO absorption of GO and GF were more affected by UV irradiation than the corresponding NLO refraction. In the case of GFH UV irradiation affected similarly both the NLO absorption and refraction. The modification of the relative strength between the NLO refraction and absorption by means of in situ UV photo-reduction can be a further auxiliary and efficient way to construct graphene derivatives with custom-made NLO properties in view of specific optoelectronic applications.
Finally, the NLO response of graphene dispersions was found to remain unaltered even after 60 min of UV irradiation, a finding which is fully compatible with the measured UV-VIS-NIR spectra of graphene's dispersions, which remained unchanged upon irradiation.
NLO absorption of GO and GF were more affected by UV irradiation than the corresponding NLO refraction. In the case of GFH UV irradiation affected similarly both the NLO absorption and refraction. The modification of the relative strength between the NLO refraction and absorption by means of in situ UV photo-reduction can be a further auxiliary and efficient way to construct graphene derivatives with custom-made NLO properties in view of specific optoelectronic applications. Finally, the NLO response of graphene dispersions was found to remain unaltered even after 60 min of UV irradiation, a finding which is fully compatible with the measured UV-VIS-NIR spectra of graphene's dispersions, which remained unchanged upon irradiation.

Conclusions
In summary, in the present work the UV photoreduction of some graphene (G), graphene oxide (GO), graphene fluoride (GF) and hydrogenated graphene fluoride (GFH) dispersions is investigated for the engineering of the third-order NLO response of these graphene derivatives. The UV-induced photoreduction was achieved by using the third harmonic output, at 355 nm, from a 4 ns Nd:YAG laser. Then, the third-order NLO response of the samples was investigated using the Z-scan technique employing the second harmonic output, at 532 nm, from the same nanosecond Nd:YAG laser. The comparison of the UV-VIS-NIR absorption spectra of several dispersions of G, GO, GF and GFH samples prior to and after UV irradiation showed that GO, GF and GFH dispersions exhibited significant changes, reflecting the resulting changes in the conjugation of the graphenic sheet, while the dispersions of pristine graphene remained unaltered. The NLO response of the irradiated, i.e., photo-reduced, samples were found to vary significantly upon irradiation time, reflecting the structural changes occurring. In particular, the NLO response of GO dispersions was found to increase upon irradiation, in contrast to the monotonically decreasing NLO response of GF and GFH dispersions, while the NLO response of pristine graphene dispersions remained unaffected. The present experimental findings clearly suggest that UV photoreduction can be a useful and efficient strategy for the controlled tailoring of the nonlinear optical properties of these graphene derivatives, leading to a wide portfolio of graphene-based materials with custom-made nonlinear optical responses, thus materials that better serve the needs for several photonic and optoelectronic applications.